Analog Modeling of Fractional Switched Order Derivative Using Different Switching Schemes

The paper presents comparison of two different switching schemes of variable order derivatives. The first one is additive-switching scheme, when change of order is caused by adding a derivative at the beginning of the system. The second one, introduced in this paper, is reductive-switching scheme, when change of order is caused by removing a derivative at the beginning of the system. For both methods numerical schemes are given and analyzed. Based on presented switching schemes results of analog modeling are presented. Results were obtained using analog approximations of integrators of orders 0.5 and 0.25. Finally, results of analog modeling were compared with numerical approach.